MathDB
Math in NBA

Source: All russian olympiad 2016,Day1,grade 11,P1

May 5, 2016
combinatorics

Problem Statement

There are 3030 teams in NBA and every team play 8282 games in the year. Bosses of NBA want to divide all teams on Western and Eastern Conferences (not necessary equally), such that number of games between teams from different conferences is half of number of all games. Can they do it?